Dispersing Fermi-Ulam Models
Dynamical Systems
2020-03-03 v1
Abstract
We study a natural class of Fermi-Ulam Models that features good hyperbolicity properties and that we call dispersing Fermi-Ulam models. Using tools inspired by the theory of hyperbolic billiards we prove, under very mild complexity assumptions, a Growth Lemma for our systems. This allows us to obtain ergodicity of dispersing Fermi-Ulam Models. It follows that almost every orbit of such systems is oscillatory.
Cite
@article{arxiv.2003.00053,
title = {Dispersing Fermi-Ulam Models},
author = {Jacopo De Simoi and Dmitry Dolgopyat},
journal= {arXiv preprint arXiv:2003.00053},
year = {2020}
}
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105 Pages